CENTRE FOR OFFSHORE FOUNDATION SYSTEMS …Randolph, Cassidy, Gourvenec & Erbrich 1 ... (onshore)...
Transcript of CENTRE FOR OFFSHORE FOUNDATION SYSTEMS …Randolph, Cassidy, Gourvenec & Erbrich 1 ... (onshore)...
16th ICSMGE Osaka, September 2005Challenges of Offshore Geotechnical Engineering
Randolph, Cassidy, Gourvenec & Erbrich
1
Mark Randolph, Mark Cassidy, Susan GourvenecCentre for Offshore Foundation Systems
The University of Western Australia
CENTRE FOR OFFSHORE FOUNDATION SYSTEMS
Challenges of Offshore Geotechnical Engineering
&Carl Erbrich
Advanced Geomechanics, Perth
16th Int. Conf. on Soil Mechanics and Geotechnical EngineeringOsaka, September 2005
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Outline
• Background• Trends in offshore design practice
• Site Investigation Practice• Strength measurement in soft sediments• Full-flow penetrometers
• Pile Foundations• Design approaches in sand• Cyclic loading
• Shallow Foundations• Embedded skirts; suction installation • Yield envelopes for combined V-M-H loading
• Mobile Drilling Units• Penetration issues• Force-resultant models for foundation response
• Anchoring Systems• Suction caissons• Static and dynamic embedment of anchors
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Evolution of Platforms
Piles,gravity bases
or suction caissons Piles
Piles or suction caissons
300 m50 m 500 m 1200 m
Courtesy: Minerals Management Services
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Evolution of Floating and Subsea Facilities
Courtesy: Minerals Management Services
Suction caissons
SkirtedFoundations
1750 m 2000 m
Piles Drag anchors
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Trends in Offshore Design Practice• General
• Enormous costs of site investigation (> $1 million/borehole)• Focus more on capacity than deformations or stiffness• Strength determination: issues of anisotropy, degradation due to cyclic
loading, sampling challenge in deep water soft clays• Environmental loading more significant than for onshore –yield
envelopes replacing bearing capacity factors• Shallow water
• Driven pipe piles – extension of onshore practice, but high capacity• Carbonate sediments – alternative foundations to driven piles• Skirted ‘gravity base’ foundations instead of (onshore) deep basements• Innovative use of short suction caissons in dense sands
• Deep water• TLPs: Special attention to cyclic loading on tension piles• Anchoring technology (drag anchors, suction caissons etc)• Geohazards and pipelines
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Geohazards, Pipelines (not covered here)
Courtesy: Norwegian Geotechnical Institute
200 m
Scarps
Canyons
800 to 1000 m
Steep slopes
Example continental slope
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Offshore Site Investigation
• Conventional drilling (> 30 to 50 m depth of soil)• Piston samples (typically ~80 mm) • Downhole vane and penetrometer tools (inside 150 mm pipe)
• Seabed frames (< 30 to 50 m depth - soft seabed)• Field vane and wheel-drive penetrometer probes
• Large diameter coring (up to 20 to 30 m long)• Fixded piston jumbo core or STACOR (100 to 150 mm diameter)
• Remote robotics – PROD• Small diameter (44 mm) piston sampling to 125 m• Penetrometer testing to 100 m (2 m strokes)
• Full-flow penetrometers• Extensive use of cylindrical (T-bar) and spherical (ball)
penetrometers for soft sediments
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Seabed Wheeldrive Penetrometer
To control anddata acquisitionTo control and
data acquisition
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Portable Remotely Operated Drill (PROD)
Schematic ofdeployed PROD
LaunchingPROD off boat
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Comparison of Downhole and Seabed Cone Profile
0
5
10
15
20
25
30
0 200 400 600 800 1000Net cone resistance, qcnet (kPa)
Depth(m)
Downhole
Seabed frame
(Variablydisturbed)
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Full-Flow Penetrometers
Load-cell
Load-cell
‘Precise’ plasticity solutionsavailable for Nt and Nb
CPT
su = (qt - σv)/Nkt
T-Bar
Section A-AA
A
su = q/Nt
Ball
su = q/Nb
Measured qc first corrected to qt
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Field Strength Profiles: Burswood, W. Australia
•Resistance profiles similar• qcone > qTbar
• qball slightly < qTbar
•Comparing shear strengths and penetration resistances:
• N ~ 10 to 12 for T-bar, ball and plate
113 mm
Cone
Plate
T-Bar(250 mm x 40 mm)
Ball
0
2
4
6
8
10
12
14
16
18
200 10 20 30 40 50 60 70 80
Undrained shear strength, su (kPa)
Dep
th (
m)
0 200 400 600 800Net penetration resistance (kPa)
Vane: peakVane: remouldedCAU TXCCAU TXECAU SSUU CompAvg ConeAvg T-barAvg BallPlate
Chung & Randolph (2004)
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Resistances Factors For Simple Shear Strength
0
5
10
15
20
25
30
0 5 10 15 20Resistance factors, Nkt-SS and NTbar-SS
Depth(m)
OffshoreWest Africa
OnshoreNorway
OffshoreAustralia
OnshoreAustralia
Open symbols: coneSolid symbols: T-bar
Coefficient of variation of average N values for each site:T-bar: 2 % ; Cone: 14 %
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Comments on Offshore Data
• Vane • Typically more scattered than other data (compensating effects
of disturbance, consolidation and rate effects)
• Cone and T-bar penetrometer data• Significant correction of cone data from measured to net values
• Net cone and T-bar resistances similar but cone resistance increases faster with depth than T-bar
• Correlations with laboratory simple shear data suggest resistance factors of ~12, but greater variance among different sites with cone (e.g. Gulf of Mexico: Nkt ~ 17)
• Field tests: typical strain rates ~105 to 107 higher than for standard laboratory test
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Rate Effects During Undrained Penetration
0.50.60.70.80.9
11.11.21.31.41.5
0.1 1 10 100Rate (mm/s)
Parameter ratio
p/p20 mm/s
Cone: qcnetCone: Du2T-barBall
+ 10%
- 10%
Δu2
qcnet
Hyperbolic sine Logarithmic fit
Rate effect:~13 % per log cycle
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Partial consolidation Undrained
Analysis of Variable Rate T-bar Test
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1 10 100 1000 10000V = vd / cv
qTbar ratio: variable/standard
cv = 0.15 mm2/scv = 4.7 m2/yr
Randolph &Hope (2004):
cone resistance
Randolph &Hope (2004):
T-bar resistance
Rate parameter: λ = 0.13
Backbonecurves cv deduced by
matching to backbone curve
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Rate Effects and Softening
• Shear strength dependency on strain rate• strength increase per log cycle: rate (μ) ~ 5 to 20 %
• Expect ~50 to 100 % increase due to rate effects
• Strain-softening or damage• soil gradually remoulded as it passes through T-bar or ball
mechanism
• net (average) strength therefore less than peak strength
Rate and strain-softening effects compensate;quantify using strain path approach
⎟⎟⎠
⎞⎜⎜⎝
⎛γγ
μ+=ouo
u log1ss
&
&
( ) ( ) 95/3remremuus e1s/s ξξ−δ−+δ==ξδ
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T-bar Factors: Strain Rate and Softening
5
10
15
20
25
0 0.05 0.1 0.15 0.2 0.25Rate parameter μ
NTbar ξ95 = 50ξ95 = 25ξ95 = 15
No strainsoftening
Parametersα = δ rem = 0.2ξTbar = 3.85
ξ95 = 10
For typical rate parameter, μ ~ 0.1, NTbar ~ 11 to 13
Corresponding theoretical range for Nball ~ 13 to 16
Strain to 95 % remoulded
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Remoulded Strength and Sensitivity
• Penetrometers ‘measure’ rate-enhanced but partially softened average strength
• Sensitivity gauged by comparing extraction and penetration resistances • Monitor cone resistance during extraction
• Fully remoulded shear strength determined by cycles of penetration and extraction• Full-flow penetrometers (T-bar, ball) superior to cone
for this
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13.613.8
1414.214.414.614.8
-400 -200 0 200 400 600Penetration resistance, q (kPa)
Depth(m)
Cyclic T-bar Results: Soft Clay Onshore Australia
3.63.8
44.24.44.64.8
-200 -100 0 100 200 300Penetration resistance, q (kPa)
Depth(m)
Fully remoulded resistance
~ 20 % of initial value (St ~ 5)
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Summary of Overall Rate Effects
• Rate effects significant• Field data show rate dependency from 10 % to 20 % per log cycle
• High plasticity clays show particularly high rate effects
• Partially drained response for V = vd/cv < ~ 30• Burswood: d = 40 mm, cv ~ 0.15 mm2/s: vmin = 0.1 mm/s
• Partial drainage detectable at V ~ 100 from Bq
• Benefits from testing at varying rates:• Assessment of rate effects
• Determination of degree of consolidation and cv
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Example Application: Spudcan in Calcareous Silt
0
5
10
15
20
25
0 0.5 1 1.5 2
Penetration Resistance (MPa)
Depth(m)
T-barCone(net)
Spudcan
Bearing pressure: 0.35 MPa
Spudcan
T-bar Spudcan
Strain rate (v d) 0.5 0.5 x 10-3 s-1
Consolidation (vd) 10-3 10-1 m2s-1
Erbrich (2005)
cone
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Pile Foundations
• Pile types and construction• Steel pipe piles near universal except in carbonate soils
• Main construction risk is refusal (collapse at tip – Goodwyn, Valhall)
• Carbonate soils: drilled and grouted piles generally preferred; driven closed-ended pipe piles a possible alternative
• Hole collapse a major risk for drilled and grouted construction, but alternative of grouted driven piles unproven in field applications
• Design issues• Friction ratio, α, in clay decreasing function of su/σ′vo (or OCR)
• Shaft friction in sand degrades during further pile installation
• End-bearing capacity in sand a key issue
• Explicit modelling of cyclic loading where strain-softening might be catastrophic (tension piles, piles in carbonate soils)
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64 m
Traditional Steel Jacket Structure With Driven Piles
Pile diameters: 1.5 to 2.5 mHammer energies: up to 3000 kJ (180 tonne ram)
maximum water depth now ~2,000 m
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Pile Capacity in Sand – Recent Reassessment
• Modern approach entirely based on cone resistance, qc
• End-bearing (Xu et al., 2005)
• Design for capacity mobilised at displacement of 0.1D
• Fractional mobilisation of qc depends on displacement ratio of pile
• Closed ended (or plugged) : qbu ~ 0.6qc – independent of diameter
• Open ended: qbu ~ qc[0.15 + 0.45 Ar] (typically ~ 0.2qc minimum)
• Shaft friction (White, Lehane, Schneider, 2005)
• Maximum value close to pile tip proportional to qc x f(Area ratio: Ar)
• Shaft friction degrades due to further pile installation: f(h/D)
• Friction degradation limits use of driven piles in carbonate sands
Design approach:Major extroplation in pile size required
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End-bearing Capacity in Sand
Closed endedqbu = 0.6qc
Area ratio of pile base0 0.2 0.4 0.6 0.8 1
qb-0.1/qc
0
0.2
0.4
0.6
Typicaloffshore
qbu = 0.2qc
Open ended database
Lehane, Schneider& Tao (2005)
0 0.2 0.4 0.6 0.8 1Pile diameter (m)
qb-0.1/qc
0
0.2
0.4
0.6
0.8
1
Closed ended database
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Shaft Friction Degradation
cv
3.0rc
f tanD/h
Aq03.0δ=τ
Cone resistanceqc/100
h/d = 25
h/d = 14h/d = 4
Data from Lehane et al (1993)
Cyclic shearing undernormal stiffness condition
(White & Bolton 2004)
Lehane, Schneider& Tao (2005):
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Grouted Pile Construction and Design
0
0.05
0.1
0.15
0.2
0.25
0.3
0 50 100 150 200 250qc/pa
p /qc
50 kPa75 kPa100 kPa150 kPa200 kPa250 kPa300 kPa500 kPaTrend upper boundTrend lower bound
Grouting pressures
drivinghammer
primarypile
Installationof primary pile
Drilling borehole
Grouting insert pile
rotary drill
insert pile
grouting string
Drilled & grouted pile design: τp = 0.02qc
c
p
qτ
ac p/q
Laboratory test results for grouted driven piles
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Calibration of Load Transfer Models for Cyclic Loading
• Constant Normal Stiffness (CNS) tests on core samples, setting normal stiffness to k = 4Gmax/d, where d is the pile diameter
• Calibration using load transfer model in RATZ (Randolph, 2003)
-0.8
-0.6
-0.4
-0.2
0.0
0.2
0.4
0.6
0.8
1.0
-6 -4 -2 0 2 4 6 8 10 12Horizontal displacement (mm)
Normalised shear
stress, τ/τp
CNS Test
RATZ calibration
rapid softening
low cyclicresidual friction
partialrecovery
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Example Application for Drilled & Grouted Pile
• Ideal shaft capacity of 82 MN is reduced to 58 MN (71 % of ideal) due to progressive failure with strain-softening load transfer
• Cyclic loading from 0 to 39 MN (67 % of monotonic capacity) reduces capacity further, to 51 MN (63 % of ideal shaft capacity)
-100-50
050
100150200250300350
0 5 10 15 20 25 30
Local pile displacement (mm)
Mobilised shaft
friction (kPa)
Monotonic
Cyclicresponse
Element response at 20 m depth
2 m
50 m
40 mmwall
80 mmwall
60 mmwall
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Effect of Cyclic Loading on Pile Capacity
-10
0
10
20
30
40
50
60
0 20 40 60 80Pile head displacement (mm)
Pile
load
(MN
) Pile headDepth: 20 mDepth: 30 m
Depth: 40 m
Monotonic
0
10
20
30
40
50
60
0 100 200 300 400 500Shaft friction (kPa)
Dep
th (m
)
Initial peak
Initial residual
Post-cyclic
Pile load-displacement
response
Profiles of shaft friction before and after storm
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Summary Comments on Pile Foundations
• New design approaches based on limited database• High quality tests in sand: 42 closed ended, 32 open ended
• Average diameter (open ended): 0.73 m; average length 25 m
• Typical offshore pile: diameter > 2 m; length 50 to 80 m
• Significant extrapolation required
• Cyclic loading effects dominate pile design• Driven piles: friction degradation during installation linked
directly to number of "cycles" (or hammer blows)
• Grouted piles: significant loss of shaft friction due to operational cyclic loading
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Shallow Foundations
• Gravity-base foundations • Large (> 400 m tall, plan area > 15,000 m2)• High environmental loading (cyclic, large moment component)
• Embedded skirts• Serves equivalent purpose as deep excavation, encasing soft sediments• Consolidation within skirts contributes to settlement (long time scale) • Suction-assisted installation and local strengthening of soils• In sands, suction installation cause quasi-piping failure within soil plug
• Yield envelopes for combined V-M-H loading• Design codes gradually replacing factors for inclined and eccentric
loading by yield envelopes in V-M-H space• Uniaxial bearing capacities (Vult, Mult, Hult) need to allow for strength
gradient and embedment
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Troll – Concrete Gravity Base Structure (GBS)
Troll (1995)Total height ~ 450 m; foundation width 150 m, skirt depth 36 m
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Wandoo Gravity Base – NW Shelf, Australia
1 m of dense carbonate sandoverlying calcareniteCyclic sliding critical
(Humpheson, 1998) Shear stress ratio τ/σ′v
Simple shear (with pre-shear) Simple shear
(no pre-shear)
Triaxial CAU
Triaxial CIU100
10
0.1
1
0.010.1 0.2 0.3 0.4 0.5
v
N/uσ′
Δ=β
4.2/11 v10 −σ′τ=β
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Bayu Undan Gravity Jacket – Timor Sea, Australia
Muddy silt(excavated by jetting)
above layered calcarenitebearing capacity critical
(Neubecker & Erbrich, 2004)
-2000
-1500
-1000
-500
0-0.5-0.4-0.3-0.2-0.10
Displacement (m)
Bea
ring
pres
sure
(kPa
)
Intact caprock:Capped Drucker Prager
Cracked caprock: capped Drucker Prager
Initially intactcaprock: Cam Clay
Displacement (m)
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Yolla Hybrid Gravity Base – Bass Strait, Australia
Uncementedcarbonate
sands & siltsmomentloadingcritical
(Watson & Humpheson, 2005)
50 m square, 5.4 m deep skirts(suction-assisted installation)
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Bearing Capacity of Shallow Foundations in Clay
VH
M = f(Hzw)
zw
z
h
suo su
k
sum
Shear strength
κ = kD/suoD
Nc = qu/suo
Bearing capacity expressed as
With Nc a function of:strength profile, κ = kD/suo
loading (H/V, M/DV) shape, embedment
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Shallow Foundations on Clay – Vertical Loading
B or D
0
2
4
6
8
10
12
0 0.5 1 1.5 2Embedment, h/D
Bearingcapacity
factorNc
kD/sum = 10
kD/sum = 01
25
Lower bound results (circle)Martin (2001)
z
h
suo su
k
sum
Nc = qu/suo
Shear strength
κ = kD/suo
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Yield Envelopes for Combined V-M-H Loading
• Establish Vult, Mult, Hult for uniaxial loading• Develop generic 3-dimensional shape, allowing for
• Whether suction (tension) allowed at foundation-soil interface
• Strength profile (kD/suo)
• Shape of foundation
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
-1 -0.8 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1
M/ADsuo
H/Asuo
ISO(no tension)
FEA(allowing tension)
Yield envelope in M-H planeCircular foundationHomogeneous soilV = 0.5Vult
neglectedcapacity
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Three-Dimensional Yield Envelopes
M/ADsuo
0.2
0.6
0.4
0.8
H/Asuo
V/Asuo
0
1
2
3
4
5
6-1.0
-0.5
0.0
0.51.0
V/Asuo
H/Asuo
M/ADsuo
0.0
0.2
0.6
0.4
0
1
2
3
4
5
6-1.0
-0.50.0
0.51.0
based on strip footinginclination andshape factors
FE Analysis(circular, allowing tension)
ISO Guidelines (no tension)
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Enhanced Capacity due to Embedment
Vertical ddh
Horizontal
Moment
Deeper mechanisms involve stronger soil- and also greater tension capacity
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Mobile Drilling Rig Foundations
• Self-elevating mobile units (jack-ups)• Buoyant triangular hull, 3 independent legs
• Spudcan foundations up to 20 m diameter
• Safety margin provided by preloading to typically twice operational load
• Highest prevalence of accidents in the offshore field
15 - 20 m
~130 m
Arabdrill19 Sep 2002
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preloadingd / D = 1.0
1.26 D
0.5 D
Installation Procedure for Jack-up Rigs
transport or floating operating
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Spudcan Penetration
• Circular, shallow conical, foundations for mobile drilling (jack-up) units• Typically 15 to 20 m diameter, penetrating 1 to 3 diameters
• Cavity depth above spudcan critical for• Bearing capacity
• Extent to which suctions may develop beneath spudcan during uplift or moment loading
H
V
p
D
Cavity
K-latticeleg
Spudcan
Hosseinet al (2005)
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0.01
0.1
1
10
0.001 0.01 0.1 1 10su / γ′D
H / DCentrifuge test (average)Centrifuge test (bound)
γ′ = 17 kN/m3, D = 18 mγ′ = 7 kN/m3, D = 18 mγ′ = 17 kN/m3, D = 12 mγ′ = 7 kN/m3, D = 12 mγ′ = 17 kN/m3, D = 6 mγ′ = 7 kN/m3, D = 6 m
Unstable
Stable
Designrange
FE Analyses
Stable Cavity Depth During Spudcan Penetration
55.0uD
sDH
⎟⎟⎠
⎞⎜⎜⎝
⎛γ′
≈
Hossein et al (2005)
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Bearing Capacity Factors for Spudcan
6
7
8
9
10
11
12
0 0.5 1 1.5 2
Penetration, p/D
Nc
Smooth interface
Upper and Lower BoundsSalgado et al. (2003)
Increasing su/γ 'Dfrom 0.14 to 0.36
Initiation of back-flow above spudcan
Hossein et al (2005)
cavity:qu = Ncsu + σ'v
local flow:qu = Ncsu
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Expansion of Yield Surface by Penetration
V
M/2R
Yield surface in (V, M/2R, H)load space
V0
Plastic Penetration (wp)
H Expansion of surface
V
M/2R
Yield surface in (V, M/2R, H)load space
V
M/2R
Yield surface in (V, M/2R, H)load space
V0
Plastic Penetration (wp)
H Expansion of surface
Yield surfacein (V, M/D, H)load space
M/D
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Consider cases wherespudcans are:
• pinned (no moment)• encastre (no rotation)• resting on "sand"
(partial restraint)
Example Dynamic Analysis of Jack-Up Rig
52m
90m115m
UPWAVE DOWNWAVEDOWNWAVE
WAVES
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Horizontal Hull Movement During Wave Loading
pinnedsandencastre
downwave legsupwave leg
wav
e el
evat
ion
(m)
0-4-8
-12
48
12
-0.5
0.50
-1-1.5
11.5
hull
sway
(m
)
time (s)-50 -50 1000
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Extension of Footing Models for Cyclic Loading
• Force-resultant models a major advance, but• Need to allow for gradual yielding (non-linearity) prior to yield
• Experiments show hysteretic unloading-reloading response
• Real soil exhibits cyclicdegradation
Horizontal Load
Vertical Load
Yield envelope under monotonic preload
Degraded cyclic yield envelope
Material factored cyclic yield envelope
'Equivalent' preload
Safe zone (shaded)
Unsafe zone
Applied preload
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Anchoring Systems
• Deep-water developments increasingly dominate• Floating production units anchored to seabed
• Catenary (chain) moorings: quasi-horizontal loading of anchors
• Trend towards taut, or semi-taut, moorings (polyester cable)
Gravity anchors Embedded anchorsBox Anchor pileGrillage and berm Suction caisson
Drag anchor (fixed fluke)Vertically loaded drag anchorSuction embedded plate anchorDynamically embedded anchor
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Example Anchors
Grillage and berm anchorshallow water gravity anchor
T
Suction caissonsdeep water taut-wire anchor
rock fill
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Suction Anchors - Installation
• Self-weight penetration, typically by ~50 % of length
• Pumping to final embedment - avoiding• Buckling of caisson (e.g. Devil's Tower, Gulf of Mexico)
• Upward plug failure
• Key uncertainties:• Bearing resistance of internal stiffeners
• Effects of gradual remoulding of soil
• Flow around internal ring stiffeners andeffect on subsequent internal shaft friction
Vent closed: pumping
γ'
αisuαosu
q = Ncsu + γ'L
L
W
Δu
D(Area, A)
t
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Measured and Predicted Under-Pressure
0
5
10
15
20
25
30
35
0 50 100 150
Required Underpressure (kPa)D
epth
(m)
M easured
P1
P2 Total
P2 Effective
P3
P4
Consolidationduring delay
δ = 12º δ = 17º
0
2
4
6
8
10
12
14
16
18
0 25 50 75 100Required Underpressure (kPa)
Dep
th (m
)
Diana (Gulf of Mexico) Girassol (West Africa)Andersen et al (2005)
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Lateral Capacity of Suction Anchors
Caisson
D*
LD2D1
Taut wire
Catenary mooring
d
θ2
θ1
h
Centre ofrotation
O
Horizontal caissonvelocity at depth, z
⎟⎟⎠
⎞⎜⎜⎝
⎛
−
−= *oh
Dhzhvv
ψ⎟⎟⎠
⎞⎜⎜⎝
⎛
−
−⎟⎠
⎞⎜⎝
⎛=
μ
cosDhzh
rr
vv *o
or
Horizontal soil velocity
D* ~ 0.7L for optimum lateral capacity
(Murff & Hamilton, (1993)
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Soil Failure Mechanisms for Suction Caissons
0
2
4
6
8
10
12
0 1 2 3 4 5Aspect ratio, L/d
Normalised capacityH/Ld(su)avg
No rotation
Free rotation(loaded at seabed)
Uniform strength with depth
Strength proportional to depth
Strength proportional to depth
( )averageuu sLd10H ≈
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Interaction Diagrams Under Combined Loading
0
5000
10000
15000
0 5000 10000 15000 20000Horizontal load (kN)
Ver
tical
load
(kN
)
FE: no crackFE: crack allowedAGSP ANC: 2-SidedAGSP ANC: 1-Sided
0
10000
20000
30000
0 10000 20000 30000 40000Horizontal load (kN)
Ver
tical
load
(kN
)
FE: no crackFE: crack allowedAGSP ANC: 2-SidedAGSP ANC: 1-Sided
3dL5.4b;
dL5.0a with 1
VV
HH
b
u
a
u+=+==⎟⎟
⎠
⎞⎜⎜⎝
⎛+⎟⎟
⎠
⎞⎜⎜⎝
⎛
L/d = 3 L/d = 5
Caissons: 5 m diameter; su = 10 + 1.5z kPa, γ' = 7.2 kN/m3
Failure envelope:
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Drag Embedment Anchors
• Traditional anchor type, with holding capacity to weight ratios of 20 to 30• Unsuitable to withstand significant vertical load
• "VLA" (vertically loaded anchor) for deep water• VLA comprises ~10 m2 plate anchor with lightweight shank
• VLA mechanism aligns anchor force normal to plate
Bruce DENNLA anchor(inverted, lying on shank)
Shank
Fluke
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Kinematic Analysis of Anchor Embedment • Treat fluke as plate with defined yield envelope in
normal, parallel and moment load space(Bransby & O'Neill, 1999)
• Allow for additional soil resistance on shank
• Model chain using simple relationships
θa
Ta
To
D
Seabed
θo
Chain-soil interaction
Chain:effective width, b
friction coefficient, μ
Q = NcbsuμQ
( ) QDQdz2
T D
0
2o
2a
a =≈θ−θ ∫
( )oaeTT
a
o θ−θμ≈
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Plate Anchor Interaction Envelopes and Response
0
1
2
3
4
5
0 2 4 6 8 10 12Normal factor, Nn
L/t = 7, fully rough
Normal-parallel
Normal-moment
-1
-0.5
0
0.5
1
00.20.40.60.81fn/fnmax
Yield locus:fs = 0
-1
-0.5
0
0.5
1
0 0.2 0.4 0.6 0.8 1
fs/fsmax
m/m
max
Yield locus:fn = 0
Nm : Nn curve
Ns : Nn curve
Strip anchor(Murff et al, 2005)Kinematic analysis
(O'Neill et al, 2003)
u
normaln Ls
fN =
u
shears Ls
fN =
u2m sLmN =
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Anchor: Overall Performance
Kinematic analysis (O'Neill et al, 2003)
0
1
2
3
0 10 20 30 40
Drag length x/L
Pade
ye d
epth
D/L
0
5
10
15
20
0 10 20 30 40
Drag length x/L
Anc
hor e
ffici
ency
-0.2
0
0.2
0.4
0.6
0.8
1
0 10 20 30 40Drag length x/L
Nor
mal
ised
fluk
e lo
ad .
fn/fnmax
fs/fsmax
m/mmax
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•Anchor installed by free-fall from ~50 m above seabed (20 – 30 m/s)
•Loading mainly resisted by friction along soil-shaft
DPA - 1:3 model scale tests inTrondheim Fjord, Norway 2003
Torpedo Anchor: Brazil 2003
Dynamically Embedding Anchors
DPA Torpedo Anchors
10-15 m
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Centrifuge Model Tests
Anchor “A” (4 flukes) Anchor “B” (3 flukes) Anchor “C” (0 flukes)
Water
650 mm
300
mm
1
2
Installation guide
Model DPA
Load cellActuator
Kaolin
Strongbox
Beam centrifuge – 200 kg at 1.8 m radius at 200 g.
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Dynamic Anchor Capacity
O’Loughlin et al. (2004)
300
250
200
150
100
50
0
0 2 4 6 860
50
40
30
20
10
00 50 100 150 200
PETROBRASfield trials
Prototype Vertical Capacity, Fv (MN)
4 fluke DPA 3 fluke DPA 0 fluke DPA Predicted
0 fluke DPA
3 fluke DPA
4 fluke DPA
Prot
otyp
e em
bedm
ent (
m)
Model Vertical Capacity, Fv (N)
Mod
el E
mbe
dmen
t (m
m)
Centrifuge models:
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Deep-Water Anchoring Options
Anchor TypesSuction Caissons
Drag EmbeddedPlate Anchors
(VLAs)
Suction EmbeddedPlate Anchors
(SEPLAs)
Dynamically Embedded Anchors
Advantages- proven installation record- wide experience- robust design
- low weight- wide experience- small, high efficiency
- proven suction technology- robust design- lowest cost of anchor
- conventional (API) design- economical to fabricate- simplest to install
Disadvantages- need ROV to install- concern for layered soils- awkward to transport
- uncertain installation- need ROV & 2 vessels- poor quality assurance
- patented design- need keying & proving- long installation times
- patented designs- low efficiency- limited field experience
Ehlers et al. (2004)
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Concluding Remarks
• Exploiting hydrocarbon resources in deep-water an increasing challenge, especially site characterisation of very soft sediments
• Calibration of in situ test results by variably disturbed laboratory strengths is a losing strategy
• Strive for improved design basis with foundation and anchor performance related directly to in situ penetration resistance
• Cost-benefits for improvement in design approachesfor conventional shallow and pile foundations
• Simple and robust anchoring systems a priority
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Acknowledgements
Grateful acknowledgements to:
Australian Research Council’s Research Centres Program for funding COFS (Centre for Offshore Foundation Systems)
Many colleagues at COFS and Advanced Geomechanics for their input into ideas presented here
Colleagues throughout the world, in particular at the Norwegian Geotechnical Institute and the
Offshore Technology Research Center